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Finding the Third Proportional to 17,075 and 39,515

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Solution

The third proportional to 17,075 and 39,515 is: 91,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075 : 39,515 = 39,515 : x
  2. Step 2: Convert to fraction form
    17,075/39,515 = 39,515/x
  3. Step 3: Cross multiply
    17,075x = 39,515 × 39,515
  4. Step 4: Simplify right side
    17,075x = 1,561,435,225
  5. Step 5: Solve for x
    x = 1,561,435,225/17,075
  6. Step 6: Final answer
    x = 91,445.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.